Wed Jan 7 07:38:45 2026 Wed Jan 7 07:38:45 2026 Wed Jan 7 07:38:45 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jan 7 07:38:45 2026 random seeds: 1cdde0b0 15c17a60 Wed Jan 7 07:38:45 2026 Using 8 OpenMP threads Wed Jan 7 07:38:45 2026 factoring 510960324216122860143130546215417843625693207133117103044075124033439315478601915141815660356581789926632774100269386765872668281751333781428221176757104919817 (159 digits) Wed Jan 7 07:38:45 2026 searching for 15-digit factors Wed Jan 7 07:38:45 2026 commencing number field sieve (159-digit input) Wed Jan 7 07:38:45 2026 R0: -5277912271441135775907497273065 Wed Jan 7 07:38:45 2026 R1: 81584791166574379297 Wed Jan 7 07:38:45 2026 A0: -153492900563552294765021240885954178948 Wed Jan 7 07:38:45 2026 A1: 55501522767035018999060530286348 Wed Jan 7 07:38:45 2026 A2: -10285081067281181086060139 Wed Jan 7 07:38:45 2026 A3: -13936954558908154873 Wed Jan 7 07:38:45 2026 A4: 2624214266382 Wed Jan 7 07:38:45 2026 A5: 249480 Wed Jan 7 07:38:45 2026 skew 5026531.91, size 2.591e-15, alpha -8.124, combined = 2.046e-12 rroots = 3 Wed Jan 7 07:38:45 2026 Wed Jan 7 07:38:45 2026 commencing relation filtering Wed Jan 7 07:38:45 2026 estimated available RAM is 78540.1 MB Wed Jan 7 07:38:45 2026 commencing duplicate removal, pass 1 Wed Jan 7 07:38:55 2026 error -1 reading relation 10920295 Wed Jan 7 07:39:23 2026 error -1 reading relation 43459270 Wed Jan 7 07:39:30 2026 error -1 reading relation 51089879 Wed Jan 7 07:39:45 2026 error -1 reading relation 68540129 Wed Jan 7 07:39:47 2026 error -1 reading relation 71573687 Wed Jan 7 07:39:52 2026 error -1 reading relation 77554242 Wed Jan 7 07:39:54 2026 error -1 reading relation 79856091 Wed Jan 7 07:39:58 2026 error -1 reading relation 84653349 Wed Jan 7 07:40:06 2026 skipped 65 malformed relations Wed Jan 7 07:40:06 2026 found 12745504 hash collisions in 93124598 relations Wed Jan 7 07:40:19 2026 added 121732 free relations Wed Jan 7 07:40:19 2026 commencing duplicate removal, pass 2 Wed Jan 7 07:40:45 2026 found 11009664 duplicates and 82236666 unique relations Wed Jan 7 07:40:45 2026 memory use: 426.4 MB Wed Jan 7 07:40:45 2026 reading ideals above 720000 Wed Jan 7 07:40:45 2026 commencing singleton removal, initial pass Wed Jan 7 07:43:34 2026 memory use: 2756.0 MB Wed Jan 7 07:43:34 2026 reading all ideals from disk Wed Jan 7 07:43:36 2026 memory use: 3652.4 MB Wed Jan 7 07:43:40 2026 keeping 83314027 ideals with weight <= 200, target excess is 427640 Wed Jan 7 07:43:44 2026 commencing in-memory singleton removal Wed Jan 7 07:43:45 2026 begin with 82236666 relations and 83314027 unique ideals Wed Jan 7 07:43:53 2026 reduce to 40906219 relations and 36177795 ideals in 19 passes Wed Jan 7 07:43:53 2026 max relations containing the same ideal: 132 Wed Jan 7 07:44:04 2026 removing 6297759 relations and 5297759 ideals in 1000000 cliques Wed Jan 7 07:44:05 2026 commencing in-memory singleton removal Wed Jan 7 07:44:05 2026 begin with 34608460 relations and 36177795 unique ideals Wed Jan 7 07:44:08 2026 reduce to 33863276 relations and 30111698 ideals in 10 passes Wed Jan 7 07:44:08 2026 max relations containing the same ideal: 117 Wed Jan 7 07:44:17 2026 removing 4777228 relations and 3777228 ideals in 1000000 cliques Wed Jan 7 07:44:18 2026 commencing in-memory singleton removal Wed Jan 7 07:44:19 2026 begin with 29086048 relations and 30111698 unique ideals Wed Jan 7 07:44:20 2026 reduce to 28563151 relations and 25796042 ideals in 9 passes Wed Jan 7 07:44:20 2026 max relations containing the same ideal: 104 Wed Jan 7 07:44:28 2026 removing 4316814 relations and 3316814 ideals in 1000000 cliques Wed Jan 7 07:44:29 2026 commencing in-memory singleton removal Wed Jan 7 07:44:29 2026 begin with 24246337 relations and 25796042 unique ideals Wed Jan 7 07:44:31 2026 reduce to 23747791 relations and 21964535 ideals in 8 passes Wed Jan 7 07:44:31 2026 max relations containing the same ideal: 88 Wed Jan 7 07:44:37 2026 removing 4089934 relations and 3089934 ideals in 1000000 cliques Wed Jan 7 07:44:38 2026 commencing in-memory singleton removal Wed Jan 7 07:44:38 2026 begin with 19657857 relations and 21964535 unique ideals Wed Jan 7 07:44:39 2026 reduce to 19132617 relations and 18329196 ideals in 10 passes Wed Jan 7 07:44:39 2026 max relations containing the same ideal: 79 Wed Jan 7 07:44:45 2026 removing 1597314 relations and 1289956 ideals in 307358 cliques Wed Jan 7 07:44:45 2026 commencing in-memory singleton removal Wed Jan 7 07:44:45 2026 begin with 17535303 relations and 18329196 unique ideals Wed Jan 7 07:44:46 2026 reduce to 17450851 relations and 16953592 ideals in 8 passes Wed Jan 7 07:44:46 2026 max relations containing the same ideal: 75 Wed Jan 7 07:44:52 2026 relations with 0 large ideals: 1472 Wed Jan 7 07:44:52 2026 relations with 1 large ideals: 6208 Wed Jan 7 07:44:52 2026 relations with 2 large ideals: 88941 Wed Jan 7 07:44:52 2026 relations with 3 large ideals: 578286 Wed Jan 7 07:44:52 2026 relations with 4 large ideals: 1994764 Wed Jan 7 07:44:52 2026 relations with 5 large ideals: 4001623 Wed Jan 7 07:44:52 2026 relations with 6 large ideals: 4910816 Wed Jan 7 07:44:52 2026 relations with 7+ large ideals: 5868741 Wed Jan 7 07:44:52 2026 commencing 2-way merge Wed Jan 7 07:44:59 2026 reduce to 10719290 relation sets and 10222031 unique ideals Wed Jan 7 07:44:59 2026 commencing full merge Wed Jan 7 07:47:11 2026 memory use: 1305.2 MB Wed Jan 7 07:47:12 2026 found 5334786 cycles, need 5270231 Wed Jan 7 07:47:13 2026 weight of 5270231 cycles is about 474888534 (90.11/cycle) Wed Jan 7 07:47:13 2026 distribution of cycle lengths: Wed Jan 7 07:47:13 2026 1 relations: 440197 Wed Jan 7 07:47:13 2026 2 relations: 505450 Wed Jan 7 07:47:13 2026 3 relations: 522176 Wed Jan 7 07:47:13 2026 4 relations: 493540 Wed Jan 7 07:47:13 2026 5 relations: 473112 Wed Jan 7 07:47:13 2026 6 relations: 435487 Wed Jan 7 07:47:13 2026 7 relations: 405025 Wed Jan 7 07:47:13 2026 8 relations: 363021 Wed Jan 7 07:47:13 2026 9 relations: 321808 Wed Jan 7 07:47:13 2026 10+ relations: 1310415 Wed Jan 7 07:47:13 2026 heaviest cycle: 23 relations Wed Jan 7 07:47:14 2026 commencing cycle optimization Wed Jan 7 07:47:20 2026 start with 35432330 relations Wed Jan 7 07:47:59 2026 pruned 1123380 relations Wed Jan 7 07:48:00 2026 memory use: 1080.1 MB Wed Jan 7 07:48:00 2026 distribution of cycle lengths: Wed Jan 7 07:48:00 2026 1 relations: 440197 Wed Jan 7 07:48:00 2026 2 relations: 517649 Wed Jan 7 07:48:00 2026 3 relations: 542573 Wed Jan 7 07:48:00 2026 4 relations: 509623 Wed Jan 7 07:48:00 2026 5 relations: 489810 Wed Jan 7 07:48:00 2026 6 relations: 448101 Wed Jan 7 07:48:00 2026 7 relations: 416099 Wed Jan 7 07:48:00 2026 8 relations: 369970 Wed Jan 7 07:48:00 2026 9 relations: 326042 Wed Jan 7 07:48:00 2026 10+ relations: 1210167 Wed Jan 7 07:48:00 2026 heaviest cycle: 23 relations Wed Jan 7 07:48:05 2026 RelProcTime: 560 Wed Jan 7 07:48:05 2026 Wed Jan 7 07:48:05 2026 commencing linear algebra Wed Jan 7 07:48:05 2026 using VBITS=256 Wed Jan 7 07:48:06 2026 read 5270231 cycles Wed Jan 7 07:48:11 2026 cycles contain 17117550 unique relations Wed Jan 7 07:48:21 2026 read 17117550 relations Wed Jan 7 07:48:24 2026 using 20 quadratic characters above 4294917295 Wed Jan 7 07:48:30 2026 building initial matrix Wed Jan 7 07:50:39 2026 memory use: 2408.5 MB Wed Jan 7 07:50:41 2026 read 5270231 cycles Wed Jan 7 07:50:41 2026 matrix is 5270050 x 5270231 (1965.5 MB) with weight 617807111 (117.23/col) Wed Jan 7 07:50:41 2026 sparse part has weight 452001997 (85.77/col) Wed Jan 7 07:51:13 2026 filtering completed in 2 passes Wed Jan 7 07:51:14 2026 matrix is 5269103 x 5269283 (1965.4 MB) with weight 617762829 (117.24/col) Wed Jan 7 07:51:14 2026 sparse part has weight 451989414 (85.78/col) Wed Jan 7 07:51:23 2026 matrix starts at (0, 0) Wed Jan 7 07:51:23 2026 matrix is 5269103 x 5269283 (1965.4 MB) with weight 617762829 (117.24/col) Wed Jan 7 07:51:23 2026 sparse part has weight 451989414 (85.78/col) Wed Jan 7 07:51:23 2026 saving the first 240 matrix rows for later Wed Jan 7 07:51:24 2026 matrix includes 256 packed rows Wed Jan 7 07:51:25 2026 matrix is 5268863 x 5269283 (1789.4 MB) with weight 411789640 (78.15/col) Wed Jan 7 07:51:25 2026 sparse part has weight 384784803 (73.02/col) Wed Jan 7 07:51:25 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Jan 7 07:51:25 2026 selected card has CUDA arch 12.0 Wed Jan 7 07:51:43 2026 commencing Lanczos iteration Wed Jan 7 07:51:44 2026 memory use: 4262.3 MB Wed Jan 7 07:51:56 2026 linear algebra at 0.6%, ETA 0h34m Wed Jan 7 07:52:14 2026 checking every 150000 dimensions, checkpointing every 9300000 dimensions Wed Jan 7 08:25:35 2026 lanczos halted after 20644 iterations (dim = 5268862) Wed Jan 7 08:25:47 2026 recovered 29 nontrivial dependencies Wed Jan 7 08:25:48 2026 BLanczosTime: 2263 Wed Jan 7 08:25:48 2026 Wed Jan 7 08:25:48 2026 commencing square root phase Wed Jan 7 08:25:48 2026 reading relations for dependency 1 Wed Jan 7 08:25:48 2026 read 2634695 cycles Wed Jan 7 08:25:51 2026 cycles contain 8556084 unique relations Wed Jan 7 08:25:58 2026 read 8556084 relations Wed Jan 7 08:26:20 2026 multiplying 8556084 relations Wed Jan 7 08:27:02 2026 multiply complete, coefficients have about 462.36 million bits Wed Jan 7 08:27:03 2026 initial square root is modulo 197782579 Wed Jan 7 08:28:36 2026 sqrtTime: 168 Wed Jan 7 08:28:36 2026 p73 factor: 1727643945241060806459058891807276797420286677361442007815633434309452199 Wed Jan 7 08:28:36 2026 p87 factor: 295755572566677089998105282492368313671690918035914758665204066486848400230606810552783 Wed Jan 7 08:28:36 2026 elapsed time 00:49:51